Bounding entropy for one-parameter diagonal flows on $S{L}_d(\mathbb{R})/S{L}_d(\mathbb{Z})$ using linear functionals

Ron Mor

We give a method to bound the entropy of measures on $S{L}_d(\mathbb{R})/S{L}_d(\mathbb{Z})$ which are invariant under a one parameter diagonal subgroup, in terms of entropy contri…